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LZ 2 算盘（Rekenrek）——十格算珠加法演示

LZ 2 算盘（Rekenrek）——十格算珠加法演示
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2017-06-20 05:04
多边形函数数列滑块动画函数图像
所属专题 Virtual Manipulatives
该范例展示了一个用于小学低年级（LZ 2）的荷兰式算盘（Rekenrek），通过两行各10颗可滑动算珠的直观模型，演示自然数加法与数量对应关系。核心数学概念包括自然数的认识、加法运算、数的分解与组合，以及统计特征（如行内珠子数量统计）。作图要点：使用GeoGebra的Segment（线段）绘制算盘框架，Point（点）定位算珠，Sum（求和）计算行内珠子总数，Polygon（多边形）构建算珠形状，Line（直线）辅助对齐，Corner（角点）确定画布边界；对象包括r1b1至r1b10、r2b1等20颗算珠，以及row1list、row1value等列表与数值对象，用于动态更新每行珠子数量。适合小学一年级至二年级的数学启蒙教学，也可用于特殊教育中的数感训练，通过拖动算珠直观理解加减法。

GeoGebra 命令及参数

  1. Segment((0, 11), (23, 11)) → f
  2. Point(f) → A
  3. Point(f) → B
  4. Point(f) → C
  5. Point(f) → D
  6. Point(f) → E
  7. Point(f) → F
  8. Point(f) → I
  9. Point(f) → J
  10. Point(f) → G
  11. Point(f) → H
  12. Point(f) → K
  13. Point(f) → L
  14. Point(f) → M
  15. Point(f) → N
  16. Point(f) → O
  17. Point(f) → P
  18. Point(f) → Q
  19. Point(f) → R
  20. Point(f) → S
  21. Point(f) → T
  22. Sum(row1list) → row1value
  23. Segment((0, 8), (23, 8)) → g
  24. Point(g) → U
  25. Point(g) → V
  26. Point(g) → W
  27. Point(g) → Z
  28. Point(g) → A_1
  29. Point(g) → B_1
  30. Point(g) → C_1
  31. Point(g) → D_1
  32. Point(g) → E_1
  33. Point(g) → F_1
  34. Point(g) → G_1
  35. Point(g) → H_1
  36. Point(g) → I_1
  37. Point(g) → J_1
  38. Point(g) → K_1
  39. Point(g) → L_1
  40. Point(g) → M_1
  41. Point(g) → N_1
  42. Point(g) → O_1
  43. Point(g) → P_1
  44. Sum(row2list) → row2value
  45. Polygon(Q_1, R_1, S_1, T_1) → poly1, q_1, r_1, s_1, t_1
  46. Segment((0, 5), (23, 5)) → h
  47. Point(h) → U_1
  48. Point(h) → V_1
  49. Point(h) → W_1
  50. Point(h) → Z_1
  51. Point(h) → B_2
  52. Point(h) → A_2
  53. Point(h) → C_2
  54. Point(h) → D_2
  55. Point(h) → E_2
  56. Point(h) → F_2
  57. Point(h) → G_2
  58. Point(h) → H_2
  59. Point(h) → I_2
  60. Point(h) → J_2
  61. Point(h) → K_2
  62. Point(h) → L_2
  63. Point(h) → M_2
  64. Point(h) → N_2
  65. Point(h) → O_2
  66. Point(h) → P_2
  67. Segment((0, 2), (23, 2)) → i
  68. Point(i) → Q_2
  69. Point(i) → R_2
  70. Point(i) → S_2
  71. Point(i) → T_2
  72. Point(i) → U_2
  73. Point(i) → V_2
  74. Point(i) → W_2
  75. Point(i) → Z_2
  76. Point(i) → A_3
  77. Point(i) → B_3
  78. Point(i) → C_3
  79. Point(i) → D_3
  80. Point(i) → E_3
  81. Point(i) → F_3
  82. Point(i) → G_3
  83. Point(i) → H_3
  84. Point(i) → I_3
  85. Point(i) → J_3
  86. Point(i) → K_3
  87. Point(i) → L_3
  88. Sum(row3list) → row3value
  89. Sum(row4list) → row4value
  90. Line(M_3, y = 0) → j
  91. Point(j) → N_3
  92. Line(M_3, x = 0) → k
  93. Point(k) → O_3
  94. Polygon(M_3, O_3, P_3, N_3) → poly2, m_3, o_3, p_3, n_3
  95. Corner(5) → CanvasSize
  96. Sum(row5list) → row5value
  97. Segment((0, -1), (23, -1)) → l
  98. Point(l) → Q_3
  99. Point(l) → R_3
  100. Point(l) → S_3
  101. Point(l) → T_3
  102. Point(l) → U_3
  103. Point(l) → V_3
  104. Point(l) → W_3
  105. Point(l) → Z_3
  106. Point(l) → A_4
  107. Point(l) → B_4
  108. Point(l) → C_4
  109. Point(l) → D_4
  110. Point(l) → E_4
  111. Point(l) → F_4
  112. Point(l) → G_4
  113. Point(l) → H_4
  114. Point(l) → I_4
  115. Point(l) → J_4
  116. Point(l) → K_4
  117. Point(l) → L_4

AI 绘图提示语参考

绘制一个荷兰式算盘，包含上下两排横杆，每排有十个可滑动的珠子。先画上方横杆，在其上均匀放置十个珠子，并计算该排珠子总数；再画下方横杆，同样放置十个珠子并计算总数。珠子用多边形表示，横杆用线段绘制，整体位于画布内。图形用于演示十以内加法与数数，珠子可拖动以改变数量。
以上提示语为根据原始绘图命令整理而来，仅供参考。